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Finding the Fourth Proportional to 212,697.72, 319,118.82 and 133,719.48

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Solution

The fourth proportional to 212,697.72, 319,118.82 and 133,719.48 is: 200,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,697.72 : 319,118.82 = 133,719.48 : x
  2. Step 2: Convert to fraction form
    212,697.72/319,118.82 = 133,719.48/x
  3. Step 3: Cross multiply
    212,697.72x = 319,118.82 × 133,719.48
  4. Step 4: Simplify right side
    212,697.72x = 42,672,402,668.61
  5. Step 5: Solve for x
    x = 42,672,402,668.61/212,697.72
  6. Step 6: Final answer
    x = 200,624.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.